Multi-peak solutions for a singularly perturbed semilinear elliptic problem

	Multi-peak solutions for a singularly perturbed semilinear elliptic problem
	Cao, DM ; Noussair, ES
刊名	JOURNAL OF DIFFERENTIAL EQUATIONS
	2000-09-20
卷号	166 期号:2 页码:266-289
ISSN号	0022-0396
英文摘要	This paper is concerned with the existence of multi-peak solutions of the following problem -epsilon(2)Delta u + u = u(p-1) in Omega, u > 0 in Omega, u = 0 on theta Omega, -where SZ is a smooth bounded domain in R-N (N greater than or equal to 2), epsilon > 0 is a small positive number and p epsilon (2, 2N/N-2) for N greater than or equal to 3, p epsilon (2, + infinity) for N = 2. Using a variational method we construct positive solutions concentrating near given "saddle points" of the distance function dist(., theta Omega). An explicit expression for the dominant parts of the solutions is also obtained. (C) 2000 Academic Press.
WOS研究方向	Mathematics
语种	英语
出版者	ACADEMIC PRESS INC
WOS记录号	WOS:000089574500002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/15532]
专题	中国科学院数学与系统科学研究院
通讯作者	Cao, DM
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
推荐引用方式 GB/T 7714	Cao, DM,Noussair, ES. Multi-peak solutions for a singularly perturbed semilinear elliptic problem[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2000,166(2):266-289.
APA	Cao, DM,&Noussair, ES.(2000).Multi-peak solutions for a singularly perturbed semilinear elliptic problem.JOURNAL OF DIFFERENTIAL EQUATIONS,166(2),266-289.
MLA	Cao, DM,et al."Multi-peak solutions for a singularly perturbed semilinear elliptic problem".JOURNAL OF DIFFERENTIAL EQUATIONS 166.2(2000):266-289.